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Finding the Fourth Proportional to 783.25, 1,081.05 and 704.42

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Solution

The fourth proportional to 783.25, 1,081.05 and 704.42 is: 972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.25 : 1,081.05 = 704.42 : x
  2. Step 2: Convert to fraction form
    783.25/1,081.05 = 704.42/x
  3. Step 3: Cross multiply
    783.25x = 1,081.05 × 704.42
  4. Step 4: Simplify right side
    783.25x = 761,513.24
  5. Step 5: Solve for x
    x = 761,513.24/783.25
  6. Step 6: Final answer
    x = 972.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.